非线性超材料中自孤子的传输特性研究
[1] Veselago V G.The Electrodynamics of Substances with Simultaneously Negative Values of ε and μ [J].Sov Phys Usp,1968,10(4):509-514.Doi:10.1071/PU1968v010n04ABEH003699/meta.
[2] Pendry J B.Extremely Low Frequency Plasmons in Metallic Mesostructures[J].Phys Rev Lett,1996,76(25):4773-4776.Doi:10.1103/PhysRevLett.76.4733.
[3] Smith D R,Padilla W J,Vier D C,et al.Composite Medium with Simultaneously Negative Permeability and Permittivity[J].Phys Rev Lett,2000,84(18):4184-4187.Doi:10.1103/PhysRevLett.84.4184.
[4] He Y R,He S L,Gao J,et al.Nanoscale Metamaterial Optical Waveguides with Ultrahigh Refractive Indices[J].J Opt Soc Am B,2012,29(9):2559-2566.Doi:10.1364/JOSAB.29.002559.
[5] ZHANG Y,FENG Y J,ZHU B,et al.Graphene Based Tunable Metamaterial Absorber and Polarization Modulation in Terahertz Frequency[J].Opt Express,2014,22(19):22743-22752.Doi:10.1364/OE.22.022743.
[6] Shalaev V M,Cai W S,Chettiar U K,et al.Negative index of Refraction in Optical Metamaterials[J].Opt Lett,2005,30(24):3356-3358.Doi:10.1364/OL.30.003356.
[7] Zharov A A,Shadrivov I V,Kivshar Y S,et al.Nonlinear Properties of Left-Handed Metamaterials[J].Phys Rev Lett,2003,91(3):037401.DOI: 10.1103/Phys Rev Lett.91.037401.
[8] Lapine M,Gorkunov M,Ringhofer K H.Nonlinearity of a Metamaterial Arising from Diode Insertions into Resonant Conductive Elements[J].Phys Rev E,2003,67(6):065601.DOI:10.1103/Phys Rev E.67.065601.
[9] Xiao S M,Drachev V P,Kildishev A V,et al.Loss-Free and Active Optical Negative-Index Metamaterials[J].Nature,2010,466:735-740.DOI:10.1038/natrue 09278.
[10] Popov A K,Shalaev V M.Compensating Losses in Negative-Index Metamaterials by Optical Parametric Amplification[J].Opt Lett,2006,31(14):2169-2171.DOI:10.1364/OL.31.002169.
[11] Boardman A D,Rapoport Y G,King N,et al.Creating Stable Gain in Active Metamaterials[J].J Opt Soc Am B,2007,24(10):A53-A61.DOI:10.13654/JOSAB.24.000A53.
[12] Schwaiger S,Klingbeil M,Kerbst J,et al.Gain in Three-Dimensional Metamaterials Utilizing Semiconductor Quantum Structures[J].Phys Rev B,2011,84(15):155325.DOI:10.1103/Phy Rev B.84155325.
[13] Lazarides N,Tsironis G P.Coupled Nonlinear Schrdinger Field Equations for Electromagnetic Wave Propagation in Nonlinear Lleft-Handed Materials[J].Phys Rev E,2005,71(3):036614-036617.DOI:10.1103/Phys Rev E.71.036614.
[14] Scalora M,Syrchin M S,Akozbek N,et al.Generalized Nonlinear Schrodinger Equation for Dispersive Susceptibility and Permeability:Application to Negative Index Materials[J].Phys Rev Lett,2005,95(1):013902.DOI:10.1103/Phys Rev Lett.95.013902.
[15] Zharova N A,Shadrivov I V,Zharov A A,et al.Nonlinear Transmission and Spatiotemporal Solitons in Metamaterials with Negative Refraction[J].Opt Express,2005,13(4):1291-1298.DOI:10.1364/JOSAB.24.003058.
[16] WEN S C,WANG Y W,SU W H,et al.Modulation Instability in Nonlinear Negative-Index Material[J].Phys Rev E,2006,73(3):036617.DOI:10.1103/Phys Rev E.73.036617.
[17] XIANG Y J,WEN S C,DAI X Y,et al.Modulation Instability Induced by Nonlinear Dispersion in Nonlinear Metamaterials[J].J Opt Soc Am B,2007,24(12):3058-3063.DOI:10.1364/JOSAB.24.003058.
[18] LI P G,YANG R C,XU Z Y.Gray Solitary-Wave Solutions in Nonlinear Negative-Index Materials[J].Phys Rev E,2010,82(4):046603.DOI:10.1103/Phys Rev E.82.046603.
[19] YANG R C,ZHANG Y.Exact Combined Solitary Wave Solutions in Nonlinear Metamaterials[J].J Opt Soc Am B,2011,28(1):123-127.DOI:10.1364/JOSAB,28.000123.
[20] YANG R C,MIN X M,TIAN J P,et al.Tunable Modulation Instability in Metamaterials with Pseudo-Quintic Nonlinearity,Self-Steepening Effect and Delayed Raman Response[J].Eur Phys J D,2016,70(39).DOI:10.1140/epjd.e 2016-60419-0.
[21] ZHOU Q, LIU L, LIU Y X, et al.Exact Optical Solitons in Metamaterials with Cubic-quintic Nonlinearity and third-order Dispersion[J].Nonlinear Dyn,2015,80:1365-1371.DOI:10.1007/s11071-015-1948-x.
[22] Loomba S,Rajan M S M,Gupta R,et al.Soliton Propagation in Negativeindex materials with Self-steepning effect[J].Eur. Phys J D,2014,68(130).DOI:10.1140/epjd/e2014-40593-9.
[23] YANG R C,MIN X M,TIAN J P,et al.New Types of Exact Quasi-soliton Solutions in Metamaterials[J].Phys Scr,2016,91:025201.
[24] YANG D Q,ZHANG J Q,CHEN B W,et al.Generation of Stable Bright Pulse and the Dark Soliton Interaction in Nonlinear Left-handed Materials[J].Appl Phys A,2012,109:477-480.
[25] Kozyrev A B,Van Der Weide D W.Nonlinear Left-Handed Transmission Line Metamaterials[J].J Phys D Appl Phys,2008,41:173001.DOI:10.1088/0022-3727/41/17/173001.
[26] WANG Z B,FENG Y J,ZHU B,et al.Dark Schrdinger Solitons and Harmonic Generation in Left-Handed Nonlinear Transmission Line[J].J Appl Phys,2010,107:094907.DOI:10.1063/1.3418556.
[27] Gray A,Huang Z J,Lee Y,et al.Experimental Observation of Autosoliton Propagation in a Dispersion-Managed System Guided by Nonlinear Optical Loop Mirrors[J].Opt Lett,2004,29(9):926-928.DOI:10.1364/OL.29.000926.
[28] Boscolo S,Derevyanko S A,Turitsyn S K.Autosoliton Propagation and Mapping Problem in Optical Fiber Lines with Lumped Nonlinear Devices[J].Phys Rev E,2005,72(1):016601-016604.DOI:10.1103/Phys Rev E.72.016601.
[29] Latkin A I.Simulation of Autosoliton Optical Pulses in High-Speed Fibreoptic Communication Systems[J].Quantum Electronics,2005,35(3):273-277.DOI:10.1070/QE2005 V 035n03ABEH002888.
[30] WEN S C,XIANG Y J,DAI X Y,et al.Theoretical Models for Ultrashort Electromagnetic Pulse Propagation in Nonlinear Metamaterials[J].Phys Rev A,2007,75(3):033815-033823.DOI:10.1103/Phys Rev A.75.033815.
[31] XIANG Y J,DAI X Y,WEN S C,et al.Nonlinear Absorption Due to Linear Loss and Magnetic Permeability in Metamaterials[J].Phys Rev E,2012,85(6):066604-066610.DOI:10.1103/Phys Rev E.85.066604.
[32] ZHAO L,XIE D L,WU X H,et al.Role of the Linear Loss and Nonlinear Magnetic Susceptibility in the Modulation Instability in the Nonlinear Metamaterials[J].J Nonlinear Opt Phys,2013,22(2):1350020.DOI:10.1142/S0218863513500203.
[33] Akhmediev N,Afanasjev V V.Novel Arbitrary-Amplitude Soliton Solutions of the Cubic-Quintic ComplexGinzburg-Landau Equation[J].Phys Rev Lett,1995,75(12):2320-2325.DOI:10.1103/Phys Rev Lett,75.2320.
李金金, 杨荣草, 田晋平, 薛文瑞. 非线性超材料中自孤子的传输特性研究[J]. 量子光学学报, 2016, 22(4): 369. LI Jin-jin, YANG Rong-cao, TIAN Jin-ping, XUE Wen-rui. Studies on Propagation of Autosolitons in Nonlinear Metamaterials[J]. Acta Sinica Quantum Optica, 2016, 22(4): 369.